The perimeter of the rectangle is 364 cm, find the area of this rectangle if known.

The perimeter of the rectangle is 364 cm, find the area of this rectangle if known. What is the difference between its length and width 32 cm.

1) Let’s find out what width this rectangle has, if it is known that its length is 32 cm longer, and the perimeter is 364 cm.We compose an equation where:

X – width;

X + 32 – length;

364 – perimeter.

2 * (X + X + 32) = 364;

2X + 2X + 64 = 364;

4X = 364 – 64;

4X = 300;

X = 300/4;

X = 75 cm.

2) Determine how long the rectangle has if it is 32 cm more than the width.

75 + 32 = 107 cm.

3) Find the area of this rectangle.

75 * 107 = 8025 cm².

Answer: the area of this rectangle was 8025 cm².